Question

find the volume of the solid. the volume is □. (simplify your answer.) question 35, 6.5.11 hw score: 76.72%, 44.5 of 58 points points: 0.5 of 1 save

Explanation:

Step1: Identify the solid and formula

The solid is a pyramid. The volume formula for a pyramid is $V = \frac{1}{3}Bh$, where $B$ is the area of the base and $h$ is the height.

Step2: Calculate the base area

The base is a square with side length $2$ cm. So, $B = s^2 = 2^2 = 4$ $cm^2$.

Step3: Substitute values into the formula

The height $h$ is $3$ cm. Substitute $B = 4$ and $h = 3$ into $V = \frac{1}{3}Bh$: $V = \frac{1}{3} \times 4 \times 3$.

Step4: Simplify the expression

$\frac{1}{3} \times 4 \times 3 = 4$ $cm^3$.

Answer:

$4$ cubic centimeters (or $4\ cm^3$)